h-net: hqc1605


Topological data

Orbifold symbol*344
Transitivity (vertex, edge, ring)(4,4,2)
Vertex degrees{3,4,3,8}
2D vertex symbol {16.16.16}{16.3.3.16}{16.3.3}{3.3.3.3.3.3.3.3}
Vertex coordination sequence [(3, 9, 15, 9, 18, 54, 90, 51, 99, 285), (4, 7, 9, 16, 24, 42, 54, 94, 131, 221), (3, 7, 6, 16, 32, 32, 36, 94, 175, 167), (8, 4, 8, 24, 40, 24, 48, 136, 212, 124)]
Delaney-Dress Symbol <1605.2:10:2 4 6 8 10,1 3 4 7 10 9,1 2 5 6 7 8 9 10:16 3,3 4 3 8>
Dual net hqc1379

Derived s-nets

s-nets with faithful topology

3 records listed.
Image s-net name Other names Space group Space group number Symmetry class Vertex degree(s) Vertices per primitive unit cell Transitivity (Vertex, Edge)
Full image sqc13967 Pm-3n 223 cubic {3,4,3,8} 62 (4,4)
Full image sqc13864 I-43d 220 cubic {3,4,3,8} 62 (4,5)
Full image sqc12132 P-43m 215 cubic {8,3,4,3} 31 (4,4)

s-nets with edge collapse

No items to display.

Derived U-tilings

1 record listed.
Image U-tiling name PGD Subgroup Transitivity (Vert,Edge,Face) Vertex Degree Vertex Symbol P net G net D net
Tiling details UQC4758 *344 (4,4,2) {3,4,3,8} {16.16.16}{16.3.3.16}{16.3.3}{3.... Snet sqc13967 Snet sqc13864 Snet sqc12132

Symmetry-lowered hyperbolic tilings